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131441522030514 = 23260788071365977
BaseRepresentation
bin11101111000101110011101…
…001110101011011110110010
3122020101200112200000210002200
4131320232131032223132302
5114212014214114434024
61143315222425524030
736454223306614203
oct3570563516533662
9566350480023080
10131441522030514
1138977044570613
12128aa2b7943616
135845b61678287
142465b371715aa
15102e167b3c2c9
hex778b9d3ab7b2

131441522030514 has 48 divisors (see below), whose sum is σ = 285291739519488. Its totient is φ = 43736661009216.

The previous prime is 131441522030461. The next prime is 131441522030519. The reversal of 131441522030514 is 415030225144131.

131441522030514 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 41 + 52 + 20 + 30 + 514 = 666.

It is not an unprimeable number, because it can be changed into a prime (131441522030519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95542294 + ... + 96908270.

It is an arithmetic number, because the mean of its divisors is an integer number (5943577906656).

Almost surely, 2131441522030514 is an apocalyptic number.

131441522030514 is an abundant number, since it is smaller than the sum of its proper divisors (153850217488974).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131441522030514 is a wasteful number, since it uses less digits than its factorization.

131441522030514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375399 (or 1375396 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 131441522030514 its reverse (415030225144131), we get a palindrome (546471747174645).

The spelling of 131441522030514 in words is "one hundred thirty-one trillion, four hundred forty-one billion, five hundred twenty-two million, thirty thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 18 607 1214 1821 3642 5463 8807 10926 17614 26421 52842 79263 158526 1365977 2731954 4097931 5345849 8195862 10691698 12293793 16037547 24587586 32075094 48112641 96225282 829148039 1658296078 2487444117 4974888234 7462332351 12030159439 14924664702 24060318878 36090478317 72180956634 108271434951 216542869902 7302306779473 14604613558946 21906920338419 43813840676838 65720761015257 131441522030514